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Simplify the expression [tex]\frac{3(2 \times 5 - 1)}{9} - 2[/tex]

A. 1
B. 0.67
C. 2.78
D. 0


Sagot :

Sure! Let's simplify the given expression step by step:

The given expression is:
[tex]\[ \frac{3(2 \cdot 5 - 1)}{9} - 2 \][/tex]

Step 1: Simplify inside the parentheses first:

[tex]\[ 2 \cdot 5 - 1 \][/tex]
[tex]\[ = 10 - 1 \][/tex]
[tex]\[ = 9 \][/tex]

So the expression now becomes:
[tex]\[ \frac{3(9)}{9} - 2 \][/tex]

Step 2: Multiply 3 by the result inside the parentheses:

[tex]\[ 3 \cdot 9 = 27 \][/tex]

So the expression now becomes:
[tex]\[ \frac{27}{9} - 2 \][/tex]

Step 3: Divide 27 by 9:

[tex]\[ \frac{27}{9} = 3.0 \][/tex]

Now the expression is:
[tex]\[ 3.0 - 2 \][/tex]

Step 4: Subtract 2:

[tex]\[ 3.0 - 2 = 1.0 \][/tex]

Therefore, the simplified expression equals:

[tex]\[ 1.0 \][/tex]

So the correct answer is:
[tex]\[ 1.0 \][/tex]